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arxiv: 2312.14817 · v3 · pith:ZE3RTITKnew · submitted 2023-12-22 · 🧮 math.DS · math.AG· math.NT

On the dynamical Manin-Mumford conjecture for plane polynomial maps

classification 🧮 math.DS math.AGmath.NT
keywords conjecturedynamicalmanin-mumfordmapspolynomialavoidingcharacteristiccurves
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We prove the dynamical Manin-Mumford conjecture for regular polynomial maps of A^2 and irreducible curves avoiding super-attracting orbits at infinity, over any field of characteristic 0.

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